Answer:
Step-by-step explanation:
The distance between A and B is given by the Pythagorean Theorem:

The angle of the line segment is:

The x-coordinate of the point is:

x≅ 2.7
Answer:
Let's solve for x.
4x+2y=5
Step 1: Add -2y to both sides.
4x+2y+−2y=5+−2y
4x=−2y+5
Step 2: Divide both sides by 4.
4x
4
=
−2y+5
4
x=
−1
2
y+
5
4
Let's solve for x.
−4x−5y=7
Step 1: Add 5y to both sides.
−4x−5y+5y=7+5y
−4x=5y+7
Step 2: Divide both sides by -4.
−4x
−4
=
5y+7
−4
x=
−5
4
y+
−7
4
Answer:
x=
−5
4
y+
−7
4
Step-by-step explanation:
I hope this helps

where

.
By continuity of

, you have

As

in the numerator, you approach

; in the denominator, you approach

. So you have an indeterminate form

. Provided the limit indeed exists, L'Hopital's rule can be used.

Now the numerator approaches

, while the denominator approaches

, suggesting the limit above is 2. This means
You can choose to answer this with fractions or decimals. I'll choose fractions because we won't need calculators. 22 1/2 miles "in" 1/3 hour, means 22 1/2 mi divided by 1/3 hour.
22 1/2 = [(22×2) + 1] ÷ 2 = 45/2
So (45/2)mi ÷ (1/3)hr is the same as (45/2) × (3/1), or (45×3)/2 = 135/2, which is 67 1/2, or 67.5 mi/hr (mph).
The answer is 5x^2-x because you have to plug in and then distribute.